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Finding the Fourth Proportional to 1,174.97, 1,621.49 and 677.53

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Solution

The fourth proportional to 1,174.97, 1,621.49 and 677.53 is: 935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.97 : 1,621.49 = 677.53 : x
  2. Step 2: Convert to fraction form
    1,174.97/1,621.49 = 677.53/x
  3. Step 3: Cross multiply
    1,174.97x = 1,621.49 × 677.53
  4. Step 4: Simplify right side
    1,174.97x = 1,098,600.68
  5. Step 5: Solve for x
    x = 1,098,600.68/1,174.97
  6. Step 6: Final answer
    x = 935.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.